Towards Quantum Transport for Central Nuclear Reactions

TL;DR

This paper investigates the use of nonequilibrium Green's functions for modeling central nuclear reactions, focusing on computational feasibility, initial state preparation, and incorporating correlations in one-dimensional slab collisions.

Contribution

It demonstrates that only near-diagonal elements of Green's functions are relevant for reaction calculations and explores methods for generating initial states and adding correlations.

Findings

Near-diagonal Green's function elements suffice for reactions

Adiabatic transformation can generate initial states

Progress in including correlations in dynamics

Abstract

Nonequilibrium Green's functions represent a promising tool for describing central nuclear reactions. Even at the single-particle level, though, the Green's functions contain more information that computers may handle in the foreseeable future. In this study, we explore slab collisions in one dimension, first in the mean field approximation and demonstrate that only function elements close to the diagonal in arguments are relevant, in practice, for the reaction calculations. This bodes well for the application of the Green's functions to the reactions. Moreover we demonstrate that an initial state for a reaction calculation may be generated through adiabatic transformation of interactions. Finally, we report on our progress in incorporating correlations into the dynamic calculations.